Q: What are the prime factors of the number 140,023,404?

 A: 2, 3, 31, 1549

Why are those the prime factors of the number 140,023,404?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 140,023,404

140,023,404
Factor Arrows
270,011,702
Factor Arrows
235,005,851
Factor Arrows
311,668,617
Factor Arrows
33,889,539
Factor Arrows
31,296,513
Factor Arrows
3432,171
Factor Arrows
3144,057
Factor Arrows
348,019
Factor Arrows
311,549

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 31, 1549

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 31 x 1,549 = 140,023,404

This can also be written as 22 x 36 x 311 x 1,5491 = 140,023,404

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 140,023,404:


Ask a Question